#(- \frac { 15} { 18} ) + 1\frac { 1} { 3}#
Write the mixed fraction in improper form by multiplying the denominator by the whole number and adding the numerator. Place the result over the same denominator.
= #(- \frac { 15} { 18} ) + \frac { 3 \times 1 + 1} { 3}#
= #(- \frac { 15} { 18} ) + \frac { 4} { 3}#
= #- \frac { 15} { 18} + \frac { 4} { 3}#
Making denominators equal,
= #- \frac { 15} { 18} + \frac { 4} { 3} \times \frac { 6} { 6} #
= #- \frac { 15} { 18} + \frac { 4\times 6} \{ 18} #
= #- \frac { 15} { 18} + \frac { 24} \{ 18} #
= #\frac { 24-15} { 18}#
= #\frac { 9} { 18}#
= #\frac {1} { 2}#
